A lending library has a fixed charge for the first three days and… - Vidyadip

Question

A lending library has a fixed charge for the first three days and additional charge for each day thereafter. Saritha paid $Rs. 27$ for a book kept for seven days, while Susy paid $Rs. 21$ for the book she kept for five days. Find the fixed charge and the charge for each extra day.

✓

Answer

Let fixed charge be $Rs. x$ and additional charge be $Rs. y$ respectively.
According to question
$x + 4y = 27 .....(i)$
$x + 2y = 21 ........(ii)$
Subtracting $(ii)$ from $(i)$ we get
$⇒ 2y = 6$
$\Rightarrow\text{y}=\frac{6}{2}=3$
Putting $y = 3$ in eq. $(i)$ we get
$⇒ x + 3 × 4 = 27$
$⇒ x + 12 = 27$
$⇒ x = 27 - 12$
$⇒ x = 15$
Thus, fixed charge $= Rs. 15$ and charge for each extra day $= Rs. 3$

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